# Properties

 Label 2015.2.cv Level 2015 Weight 2 Character orbit cv Rep. character $$\chi_{2015}(154,\cdot)$$ Character field $$\Q(\zeta_{12})$$ Dimension 880 Sturm bound 448

# Related objects

## Defining parameters

 Level: $$N$$ = $$2015 = 5 \cdot 13 \cdot 31$$ Weight: $$k$$ = $$2$$ Character orbit: $$[\chi]$$ = 2015.cv (of order $$12$$ and degree $$4$$) Character conductor: $$\operatorname{cond}(\chi)$$ = $$2015$$ Character field: $$\Q(\zeta_{12})$$ Sturm bound: $$448$$

## Dimensions

The following table gives the dimensions of various subspaces of $$M_{2}(2015, [\chi])$$.

Total New Old
Modular forms 912 912 0
Cusp forms 880 880 0
Eisenstein series 32 32 0

## Trace form

 $$880q - 24q^{4} - 8q^{5} - 432q^{9} + O(q^{10})$$ $$880q - 24q^{4} - 8q^{5} - 432q^{9} - 12q^{10} - 64q^{14} + 408q^{16} - 32q^{19} + 4q^{20} + 12q^{35} + 48q^{36} + 8q^{39} - 48q^{40} + 24q^{41} - 20q^{45} + 24q^{49} + 28q^{50} - 336q^{56} + 24q^{59} + 112q^{66} - 192q^{69} - 40q^{70} - 16q^{71} - 104q^{76} - 32q^{80} - 376q^{81} - 8q^{94} + 108q^{95} + O(q^{100})$$

## Decomposition of $$S_{2}^{\mathrm{new}}(2015, [\chi])$$ into irreducible Hecke orbits

The newforms in this space have not yet been added to the LMFDB.